Emergence of Chaos in Evolving Volterra Ecosystems

1998 ◽  
pp. 197-214 ◽  
Author(s):  
Daniel M. Dubois
Keyword(s):  
Emergence Of Chaos

The Emergence of Chaos in Time

2018 ◽  
pp. 317-378
Author(s):  
Pier Luigi Gentili
Keyword(s):  
Emergence Of Chaos

scholarly journals Probing the edge between integrability and quantum chaos in interacting few-atom systems

Quantum ◽  
2021 ◽  
Vol 5 ◽  
pp. 486
Author(s):  
Thomás Fogarty ◽  
Miguel Ángel García-March ◽  
Lea F. Santos ◽  
Nathan L. Harshman
Keyword(s):  
Quantum Chaos ◽  
Cold Atoms ◽  
Quantum Systems ◽  
Particle Interactions ◽  
Body System ◽  
Many Body ◽  
One Dimensional ◽  
The Core ◽  
Emergence Of Chaos ◽  
Number Of Particles

Interacting quantum systems in the chaotic domain are at the core of various ongoing studies of many-body physics, ranging from the scrambling of quantum information to the onset of thermalization. We propose a minimum model for chaos that can be experimentally realized with cold atoms trapped in one-dimensional multi-well potentials. We explore the emergence of chaos as the number of particles is increased, starting with as few as two, and as the number of wells is increased, ranging from a double well to a multi-well Kronig-Penney-like system. In this way, we illuminate the narrow boundary between integrability and chaos in a highly tunable few-body system. We show that the competition between the particle interactions and the periodic structure of the confining potential reveals subtle indications of quantum chaos for 3 particles, while for 4 particles stronger signatures are seen. The analysis is performed for bosonic particles and could also be extended to distinguishable fermions.

scholarly journals Chaotic Dynamics and Complexity in Real and Physical Systems

2021 ◽  
Author(s):  
Mrinal Kanti Das ◽  
Lal Mohan Saha
Keyword(s):  
Complex Dynamics ◽  
Nonlinear Dynamical Systems ◽  
Neuronal Dynamics ◽  
Financial Model ◽  
Nonlinear Dynamical ◽  
Physical Systems ◽  
Investment Demand ◽  
Model Complex ◽  
Artificial Neural Network Ann ◽  
Emergence Of Chaos

Emergence of chaos and complex behavior in real and physical systems has been discussed within the framework of nonlinear dynamical systems. The problems investigated include complexity of Child’s swing dynamics , chaotic neuronal dynamics (FHN model), complex Food-web dynamics, Financial model (involving interest rate, investment demand and price index) etc. Proper numerical simulations have been carried out to unravel the complex dynamics of these systems and significant results obtained are displayed through tables and various plots like bifurcations, attractors, Lyapunov exponents, topological entropies, correlation dimensions, recurrence plots etc. The significance of artificial neural network (ANN) framework for time series generation of some dynamical system is suggested.

The emergence of chaos in a laser irradiated spherical absorber

2007 ◽  
Vol 17 (1) ◽  
pp. 013101 ◽  
Author(s):  
Eshel Faraggi ◽  
Bernard S. Gerstman ◽  
Jinming Sun
Keyword(s):  
Emergence Of Chaos

scholarly journals Emergence of chaos in interacting communities

2014 ◽  
Vol 108 (2) ◽  
pp. 20009 ◽  
Author(s):  
M. Ostilli ◽  
W. Figueiredo
Keyword(s):  
Emergence Of Chaos

scholarly journals Emergence of chaos in a viscous solution of rods

2017 ◽  
Vol 96 (5) ◽  
Author(s):  
Emmanuel L. C. VI M. Plan ◽  
Stefano Musacchio ◽  
Dario Vincenzi
Keyword(s):  
Viscous Solution ◽  
Emergence Of Chaos

scholarly journals Uncertainty relation for chaos

2015 ◽  
Vol 12 (09) ◽  
pp. 1550093 ◽  
Author(s):  
Asher Yahalom ◽  
Meir Lewkowicz ◽  
Jacob Levitan ◽  
Gil Elgressy ◽  
Lawrence Horwitz ◽  
...  
Keyword(s):  
Theoretical Analysis ◽  
Uncertainty Relation ◽  
Necessary Condition ◽  
System Configuration ◽  
Unstable Region ◽  
Configuration Point ◽  
Positive Exponent ◽  
Emergence Of Chaos

A necessary condition for the emergence of chaos is given. It is well known that the emergence of chaos requires a positive exponent which entails diverging trajectories. Here we show that this is not enough. An additional necessary condition for the emergence of chaos in the region where the trajectory of the system goes through, is that the product of the maximal positive exponent times, the duration in which the system configuration point stays in the unstable region should exceed unity. We give a theoretical analysis justifying this result and a few examples. We stress that the criterion suggested involves only local exponents and is not concerned with asymptotic defined exponents.

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